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When you capture the bitmap data of a display object using draw(), keep in mind that you re creating a static copy of the pixels the display object renders to. The bitmap remains the same as the source changes. Scale the bitmap up enough, and you ll see the individual pixels of the bitmap, even if the original display object can be scaled up without losing delity. And, of course, the bitmap is not interactive; clicking on an image of a button doesn t trigger that button. Hopefully, none of this comes as a shock. Just think of draw() as taking a snapshot. The draw() method accepts the following parameters. Only the rst parameter is required.

Design Resolution The concept of design resolution is a useful way to catalog fractional factorial designs according to the alias patterns they produce. Designs of resolution III, IV, and V are particularly important. The de nitions of these terms and an example of each follow. Resolution III Designs. These are designs in which no main effects are aliased with any other main effect, but main effects are aliased with two-factor interactions and some two-factor interactions may be aliased with each other. The 23 1 design with I ABC is a resolution III design. We usually employ a Roman numeral subscript to indicate design resolution; thus, this one-half fraction is a 2 3 1 design. III 2. Resolution IV Designs. These are designs in which no main effect is aliased with any other main effect or two-factor interactions, but two-factor interactions are aliased with each other. The 24 1 design with I ABCD used in Example 14-7 is a resolution IV design (2 4 1 ). IV 3. Resolution V Designs. These are designs in which no main effect or two-factor interaction is aliased with any other main effect or two-factor interaction, but twofactor interactions are aliased with three-factor interactions. The 25 1 design with I ABCDE is a resolution V design (25 1 ). V 1. Resolution III and IV designs are particularly useful in factor screening experiments. A resolution IV design provides good information about main effects and will provide some information about all two-factor interactions.

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source The IBitmapDrawable object to draw. matrix A Matrix object used to apply a transformation to the display object as it s drawn.

14-9.2

DisplayObject. See more on transformations in 34, Geometric and Color Trans-

Although the 2k 1 design is valuable in reducing the number of runs required for an experiment, we frequently nd that smaller fractions will provide almost as much useful information at even greater economy. In general, a 2k design may be run in a 1 2p fraction called a 2k p fractional factorial design. Thus, a 1 4 fraction is called a 2k 2 design, a 1 8 fraction is called a 2k 3 design, a 1 16 fraction a 2k 4 design, and so on.

blendMode A blend mode to apply if drawing the pixels on top of existing bitmap data. Blend modes are speci ed using values of BlendMode, which you can review in

To illustrate the 1 4 fraction, consider an experiment with six factors and suppose that the engineer is primarily interested in main effects but would also like to get some information about the two-factor interactions. A 26 1 design would require 32 runs and would have 31 degrees of freedom for estimating effects. Since there are only six main effects and 15 twofactor interactions, the one-half fraction is inef cient it requires too many runs. Suppose we consider a 1 4 fraction, or a 26 2 design. This design contains 16 runs and, with 15 degrees of freedom, will allow all six main effects to be estimated, with some capability for examining the two-factor interactions. To generate this design, we would write down a 24 design in the factors A, B, C, and D as the basic design and then add two columns for E and F. To nd the new columns we could select the two design generators I ABCE and I BCDF. Thus, column E would be found from E ABC, and column F would be F BCD. That is, columns ABCE and BCDF are equal to the identity column. However, we know that the product of any two columns in the table of plus and minus signs for a 2k design is just another column in the table; therefore, the product of ABCE and BCDF or ABCE(BCDF) AB2C2DEF ADEF is also an identity column. Consequently, the complete de ning relation for the 26 2 design is I ABCE BCDF ADEF

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